Torsional Constant Calculator
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🔄 Torsional Constant Calculator

Calculate torsional constant, polar moment of inertia, and torsional properties for various cross-sections

📐 Torsional Constant Formulas

J = πr⁴/2 (Circular)
J = ab³/3 (Rectangular)
J = 4A²/∮(ds/t) (Thin-walled)
τ = Tr/J (Shear Stress)
J = torsional constant, r = radius, a,b = dimensions, A = enclosed area, t = wall thickness, T = torque, τ = shear stress

💡 Tips

  • Circular sections have the highest torsional efficiency
  • Thin-walled tubes are efficient for torsional loading
  • Rectangular sections have lower torsional resistance
  • J is always positive and has units of length⁴
  • Higher J means higher torsional stiffness
  • Consider warping for non-circular sections
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